121293315 has 128 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 52876800.

The previous prime is 121293299. The next prime is 121293331. The reversal of 121293315 is 513392121.

It is an interprime number because it is at equal distance from previous prime (121293299) and next prime (121293331).

It is not a de Polignac number, because 121293315 - 2⁴ = 121293299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Together with 138690045 it forms an amicable pair .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1177554 + ... + 1177656.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^121293315 is an apocalyptic number.

121293315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121293315 is an abundant number, since it is smaller than the sum of its proper divisors (138690045).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121293315 is a wasteful number, since it uses less digits than its factorization.

121293315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 121293315 is about 11013.3244299803. The cubic root of 121293315 is about 495.0080806762.

The spelling of 121293315 in words is "one hundred twenty-one million, two hundred ninety-three thousand, three hundred fifteen".